YES - the diagram is correct, as far as I can tell.

Why:
- Order on the axis, top to bottom: knob, lid, plunger rod, filter stack,
  retaining nut, glass beaker, frame. That is the order you take a
  standard (Bodum-style) French press apart in.
- Filter stack: cross plate on top, mesh screen in the middle, spiral
  plate (with the spring coil that seals against the glass) at the
  bottom, held on by a nut at the bottom end of the rod. The cross plate
  clamps the mesh down onto the spiral plate, which matches the labels.
- The rod is threaded at both ends: the knob goes on the top end and the
  filter stack goes on the bottom end. The rod passes through the bore
  in the centre of the lid.
- All parts sit on one centreline. The filter discs are a little
  narrower than the beaker, so they fit inside it. The beaker fits
  inside the frame.
- The beaker's spout and the lid's spout are both on the right, on the
  side away from the frame's handle (left), which is where they belong.
- The numbers (1-9) match the parts they point to. The bracket marking
  the "3-piece filter" covers exactly parts 4-6.

Small points (not errors):
- The lid is drawn a little narrower than the beaker rim. On a real
  press the lid sits on the rim at about the same diameter, but at this
  scale that is just drawing style.
- Some makers put the filter layers in a different order. The order
  shown (cross / mesh / spiral) is the usual one.